Question

If diagonal of a square is 13 cm then find its side.
Ratio of two adiacent sides​

Answer 1

✩ We know that :

Diagonal of 3 square is given as 13 cm.

✩ Let a be the side of the square.

Diagonal = 13

　　　　$\large \sf = \sqrt{2a} = 13$

　　　　$\large \sf a \: = \frac{13}{ \sqrt{2} }$

　　　　$\large \sf a = \frac{13 \sqrt{2} }{2}$

　　　　$\large \sf a \: = 6.5 \sqrt{2} cm$

　　　　$\large{\underline{\boxed{\mathfrak\pink{a \: = 6.5 \sqrt{2} \: cm}}}}$

Therefore, the length of the side of the square is 6 .

Answer 2

Appropriate Question :

• If diagonal of a square is 13 cm then find the side of a Square .

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Given : The Diagonal of Square is 13 cm .

Need To Find : Length of Side of Square.

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$\dag\:\;\frak {\underline { As,\:We\:know\:that\::}}$

$\dag\:\:\boxed {\sf{ Diagonal_{(Square)} =\bigg( \sqrt {2} a\bigg) }}$

Where,

• a is the Side of Square.

⠀⠀⠀⠀⠀⠀$\underline {\frak{\star\:Now \: By \: Substituting \: the \: Given \: Values \::}}$

$:\implies\sf{13 = \sqrt {2} a}\\\\ :\implies\sf{a= \dfrac{13}{\sqrt{2}}}\\\\:\implies\sf{a= \dfrac{13\times \sqrt{2}}{\sqrt{2}\times \sqrt{2}}}\\\\:\implies\sf{a= \dfrac{13\sqrt{2}}{2}}\\\\:\implies\sf{a= \dfrac{\cancel {13}\sqrt{2}}{\cancel {2}}}\\\\\qquad \quad \underline {\boxed{\purple{ \frak {  a = 6.5\sqrt {2}\: cm}}}}\:\bf{\bigstar}$

Therefore,

⠀⠀⠀⠀⠀$\therefore {\underline{ \mathrm {  Hence,\:Side \:of\:Square \:is\:\bf{6.5\sqrt {2}\: cm}}}}$

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